Mathematical Analysis and Applications is a first introduction to Higher Mathematics for college students. Starting with a discussion of Real Numbers and Functions, the text introduces standard topics of Differential and Integral Calculus together with their Applications such as Differential Equations, Numerical Analysis, Approximation Methods. The subject is developed in an integrated manner, bringing out its essential unity and the inter-relationship between these topics. The Text is written in an informal manner and in lively language, but without sacrificing rigour in thinking and precision in writing, so essential in Mathematics. The book is divided in four Parts and seventeen Chapters, described below. A brief Historical Note is included at the end of each Part that describes the contributions of the mathematicians mentioned in the Text. The Book is ideally suited for class-room teaching and also for self-study to undergraduate students of Mathematics and of other disciplines such as Statistics, Physics, Computer Sciences or Engineering that use Mathematical Methods extensively. It is also a handy reference to teachers of Mathematics.
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
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Methods of Mathematics have now become essential in every branch of Physical Sciences and Engineering, indeed in Social Sciences also. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
power series maps, reduced homogeneous equation, series whose nth term, nested intervals property, routine computation shows, eulerian number, other trigonometric functions, cos functions, sin function, tan function, maximum possible error, squaring function, completeness axiom, second order linear equation, monotone increasing sequence, upper integrals, monotone decreasing sequence, remainder function, absolute value function, upper sums, inverse function theorem, compact interval, intermediate value theorem Key Phrases - Capitalized Phrases (CAPs): (learn more)
Cauchy's Mean Value Theorem, Real Analysis, Lagrange's Theorem, Lagrange's Mean Value Theorem, Number Theory, Principle of Mathematical Induction, Applied Mathematics, Cauchy-Schwarz Inequality, Integral Remainder New!
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Methods of Mathematics have now become essential in every branch of Physical Sciences and Engineering, indeed in Social Sciences also. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
power series maps, reduced homogeneous equation, series whose nth term, nested intervals property, routine computation shows, eulerian number, other trigonometric functions, cos functions, sin function, tan function, maximum possible error, squaring function, completeness axiom, second order linear equation, monotone increasing sequence, upper integrals, monotone decreasing sequence, remainder function, absolute value function, upper sums, inverse function theorem, compact interval, intermediate value theorem Key Phrases - Capitalized Phrases (CAPs): (learn more)
Cauchy's Mean Value Theorem, Real Analysis, Lagrange's Theorem, Lagrange's Mean Value Theorem, Number Theory, Principle of Mathematical Induction, Applied Mathematics, Cauchy-Schwarz Inequality, Integral Remainder New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
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